Benchmark of Femlab, Fluent and Ansys
|
|
- Marvin Lynch
- 5 years ago
- Views:
Transcription
1 Benchmark of Femlab, Fluent and Ansys Verdier, Olivier 2004 Link to publication Citation for published version (APA): Verdier, O. (2004). Benchmark of Femlab, Fluent and Ansys. (Preprints in Mathematical Sciences; Vol. LUTFMA ). [Publisher information missing]. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. L UNDUNI VERS I TY PO Box L und
2 BENCHMARK OF FEMLAB, FLUENT AND ANSYS OLIVIER VERDIER Preprints in Mathematical Sciences 2004:6 Centre for Mathematical Sciences Mathematics CENTRUM SCIENTIARUM MATHEMATICARUM
3
4 3 CONTENTS 1 Introduction 3 2 Case Descriptions Structural Mechanics Cases Elliptic Membrane Built-in Plate Square Supported Plate Fluid Mechanics Test Cases Backward Facing Step Cylinder Flow in 2D Measurements : Computational Results Experimental Procedure How to Read the Results Structural Mechanics Elliptic Membrane Built-in Plate Supported Plate Fluid Mechanics Backstep Cylinder 2D Conclusions 18 References 19 1 INTRODUCTION This is a benchmark of Femlab 3.0a, Ansys 7.1 and Fluent We also conducted some tests with the former version 2.3 of Femlab. This was done in order to compare the performance and reliability of these programs under two sets of problems. The first set is composed of two and three dimensional structural mechanics benchmarks which are taken from the benchmark documentation of Ansys. Some of them are also part of the NAFEMS benchmarks. The second set is composed of two dimensional standard fluid mechanics benchmarks to test the incompressible Navier-Stokes model in laminar mode.
5 4 All the tests were run on the same machine in order to be able to effectively compare the performances. Each case was set up with an artificially large number of degrees of freedom. This was done in order to have an idea of the behaviour of the tested programs on heavy industrial problems, while keeping the geometry simple and disposing of measured or theoretical reference quantities. We begin with the description of the test cases, we then give some information about the experimental procedure and finally give the results of the measurements. 2 CASE DESCRIPTIONS 2.1 Structural Mechanics Cases Elliptic Membrane The original case is an elliptic membrane with an elliptic hole in its center (cf. figure 1). An outward pressure load is applied on the external edge. Because of the symmetry of the problem, only a quarter of the elliptic membrane is simulated. So the case is a quarter of an elliptic membrane with a slipping boundary condition on two edges (to account for the symmetry), plus a pressure load on its outer edge. Figure 2 on page 13 shows the resulting deformation of the membrane. A reference for this case is [Barlow and Davis, 1986]. Figure 1: The whole elliptic membrane Olivier Verdier
6 5 B 1.75 m 1.0 m A D C Geometry The membrane is 0.1 m thin. (We use the plane-stress model) Material E = MPa ν = m 1.25 m Constraints and Loads The boundary conditions, as indicated on the picture, come from horizontal and vertical symmetry: no vertical displacement on the lower edge (CD) and no horizontal displacement on the left edge (AB). A pressure P = 10 MPa is applied on the outer edge (BC). Quantities to be measured The value of σ y at the point D is to be measured. Its theoretical value is Built-in Plate σ y = 92.7 MPa A rectangular plate with built-in edges is subjected to a uniform pressure load on the top and bottom surfaces. Due to the symmetry of the problem only an eighth of the plate is simulated. The reference for this case is [Timoshenko and Woinowsky-Knieger, 1959].
7 6 H y G z E F H D A C B x L Geometry and Material H = m L = m E = MPa ν = 0.3 Face Constraints Face Description Constraint x = 0 u x = 0 x = L u x = 0 y = 0 u y = 0 y = L u y = 0 z = H u x = u y = 0 z = 0 P = MPa Edge Constraints Edge Constraint CG u z = 0 HG u z = 0 Quantities to be measured Quantity Location Theoretical u z -1 D m σ y -2 B MPa σ y -3 A MPa Square Supported Plate The eigenmodes of a plate supported on its lower edges are well known analytically. The test case consisted in finding the ten first eigenmodes and eigenvalues and to compare the latter to the theoretical values. The first three eigenvalues should be zero (solid mode) Olivier Verdier
8 7 because the solid is free to move the horizontal plane. The last three modes (8, 9 and 10) are plane modes (no displacement in the vertical direction). For more details, cf. [NAFEMS, 1989]. z y H x L Geometry and Material L = 10 m H = 1 m E = MPa ν = 0.3 ρ = 8000 kg/m 3 Constraints No vertical displacement is allowed (u z = 0) on the four lower edges Quantities to be measured The three first eigenmodes are plane modes with eigenvalue zero. The next seven eigenvalues should be measured. Here are their theoretical values: Eigenvalue nb Frequency (Hz) The last three eigenmodes are plane modes. 2.2 Fluid Mechanics Test Cases The following test cases were used to compare Fluent and Femlab. All the flows are modelled by the incompressible Navier-Stokes equations and they are under laminar regime Backward Facing Step The backstep problem is a classic test in fluid mechanics. It consists of an inflow of fluid that passes a step. Below that step a loop should be observed (see fig. 5 on page 15). More details can be found in [Rose and Simpson, 2000].
9 m m 0.01 m 0.02 m 0.06 m Geometry Height of the step: H = m Properties of the fluid η = m 2 /s ρ = 1.23 kg/m 2 Boundary Conditions The boundary condition on the inflow (leftmost boundary, in red) is: v = 6s(1 s) v0 where v 0 = m/s and v 0 is horizontal. The outflow condition is a zero pressure (rightmost boundary, in blue) p = 0 The other boundary condition are set to no-slip. This means v = 0 on the boundary. Reynolds Number Re = 150 Quantities to be measured The length of the loop is to be measured (cf. fig. 5 on page 15). In nondimensional form, the ratio of the length of the loop divided by the height of the step (H) is approximatively 7.93 according to experimental data. Olivier Verdier
10 Cylinder Flow in 2D The cylinder flow test case is similar to the backstep one, except for the geometry. The Reynolds number has to be sufficiently low (below 200) to get a physically meaningful stationary solution. If the Reynolds number is too high, Femlab finds a solution although the regime is clearly unstable. This instability can be observed using the time dependent solver in Femlab m 0.21 m 0.20 m A B D = 0.10 m 2.20 m Geometry The cylinder has a diameter D = 0.10 m Fluid Properties η = 10 3 m 2 /s ρ = 1 kg/m 2 Boundary Conditions v 0 = 0.3 m/s and v 0 is horizontal. The boundary condition on the inflow (leftmost boundary, in red) is: v = 4s(1 s) v0 where s parametrises the left boundary. The outflow condition is a zero pressure (rightmost boundary, in blue) p = 0 The other boundary condition are set to no-slip. This means v = 0 on the boundary. Quantities to be measured We define the mean velocity by v = 2 3 v 0
11 10 We then define the non-dimensional force of the fluid on the cylinder: c = 2 F ϱ v 2 D We can then define the drag coefficient c D and the lift coefficient c L to be the x and y coordinates of the non-dimensional force c: c D = c x c L = c y We also define the recirculation length L a which is the distance on the line {y = 0.2} between the right border of the cylinder and the first point where the horizontal velocity is positive (cf. figure 7 on page 16). The pressure drop P is defined as the difference of the pressures on the left and right border of the cylinder: P = P A P B All these quantities are taken from [Turek and Schäfer, 1996]. The values that we will choose as theoreticals for the precision measurements are the followings: Reynolds Number c D c L L a /D P ( N/m) Re = vd η = 20 3 MEASUREMENTS : COMPUTATIONAL RESULTS 3.1 Experimental Procedure All the computations were carried out on the same computer which caracteristics can be found on table 2 on the next page. Mesh Settings The generated meshes were always isotropic and homogeneous in the four tested programs for the performance tests except for some of the measures in the cylinder 2d and 3d cases. Olivier Verdier
12 11 Mesh Convergence The mesh convergence investigations were carried out using the Mesh Parameters... option in Femlab 3, using the whole range from Extremely coarse to Extremely fine and sometimes even more. The only exception is the graph labelled "Dense Mesh" on figure 8 on page 17, on which the mesh is denser around the cylinder. It should be emphasised that there are is no way to modify a mesh in Fluent without losing all the boundary conditions and other settings. As a result it is very difficult to investigate the mesh convergence in Fluent. Table 1 Versions of the tested programs Program Version Fluent Ansys 7.1 Femlab Femlab 3.0a Table 2 Computer Characteristics Manufacturer Processor RAM OS Fujitsu-Siemens Intel P4 2.4GHz 1GB MS Windows XP 3.2 How to Read the Results Precision The precision for a given quantity Q and its corresponding theoretical value Q theor is computed according to the following formula: precision = log( 1 Q ) Q theor The measured quantity in the measurement tables are always given in this form. Note that a precision above the theoretical precision (which is usually 2 or 3) does not mean that the precision is really better than the theoretical precision.
13 12 Mesh Convergence On the mesh convergence graphs the precision is represented against the log of the number of degrees of freedom. Units If not explicitly mentioned, the units are always SI units. The units of the performance tables are the following: Denomination DOF (Degrees of Freedom) Mem (Peak Memory) Time (CPU Time) Units Thousands MegaByte Second The peak memory is the maximum memory used by the process during the computation. Out of Memory When the peak memory measurement is preceded by >, it means that the computation process could not be completed because of an out of memory error. Missing Measures Missing measure are indicated by a? sign. It means that the quantity could not be measured with a sufficient accuracy. Measure Accuracy All the measures were taken with 4 significant digits. 3.3 Structural Mechanics Ansys and Femlab are comparable in CPU time and memory usage on the structural mechanics cases, except in the Supported Plate case where Ansys turns out to be much more efficient in time and memory for the same accuracy as Femlab. Note also that the results vary very much according to the numerical solver used. The sovers on Femlab 3 have been carefully tuned in order to obtain the best perfomances. Such a possibility does not seem to be available in Ansys Elliptic Membrane Program DOF Mem Time σ y Ansys Femlab 3.0a Femlab Femlab 3.0a Olivier Verdier
14 13 Figure 2: Deformation of the Elliptic Membrane Figure 3: Mesh Convergence for the Elliptic Membrane
15 14 Figure 4: Mesh Convergence for the Built-in Plate Built-in Plate Program DOF Mem Time u z -1 σ y -2 σ y -3 min max Ansys Femlab 3.0a Femlab ? Supported Plate Neither Ansys nor Femlab seem to be able to compute the eigenfrequencies with a satisfactory precision. The plane modes vary very much according to the mesh, and we never got the last three plane modes together. It appears therefore that a much clever mesh or a larger mesh would be necessary to obtain a better accuracy. Program DOF Mem Time min max Ansys Femlab 3.0a Femlab > Fluid Mechanics These test cases were compared with Fluent. Fluent turns out to have no stationary solver 1. This implies that the convergence for the chosen cases can be very slow, since it 1 This is a mistake. It is an iterative solver that we mistook for a time-dependent one. Olivier Verdier
16 15 endeavours to find an asymptotic solution from a nonstationary solver. This implies that the performances of Fluent are very sensitive to the given precision which was 10 5 on all the cases. We will also see in both 2D cases that Femlab is more accurate even used with a non-stationary solver and also that Fluent does not converge, no matter how long we let it iterate. At last we tested Fluent with very large numbers of elements but the precision is not improved Backstep Fluent gets the loop with a remarkably poor accuracy. Femlab yields better results even when used with a non stationary solver. Only a few hundreds of elements is needed to Femlab to achieve a better accuracy than that of Fluent. Figure 5: The loop behind the step Figure 6: Mesh Convergence for the Backstep
17 16 Program DOF Mem Time Loop Fluent Femlab >602 Femlab 3.0a Femlab Femlab 3.0a Cylinder 2D The first computations are carried out using a homogeneous mesh. The last two line, however, are results of computations with refined mesh around the cylinder. One should be careful about these last two results, though, since the refinement methods are not the same. We tried to let Fluent iterate for a very long time (about iterations) and still the residual remains above The subsequent results for Fluent are not better than those presented here. We also used Femlab 3 for a non-stationary simulation of this case and the precision is the same as in the stationary one. Moreover the solution converges fairly quickly to the stationary one (whereas Fluent does not converges at all if the residual tolerance is chosen below 10 5 ). Figure 7: The recirculation area at the back of the cylinder Olivier Verdier
18 Figure 8: Mesh convergence for the Cylinder 2D Case 17
19 18 Program DOF Mem Time c D c L L a P Fluent ?? Femlab 3.0a Femlab >623 Femlab 3.0a Fluent ?? Femlab 3.0a CONCLUSIONS Femlab 3 represents a very significant stride compared to the previous version 2.3. In most cases, the old version could not even carry out the computations without an "Out of memory" error message. Femlab 3 performances are comparable, both from the precision, CPU time and memory usage, to those of Ansys, except for the eigenfrequency analysis, where Ansys is more efficient. Surprisingly enough, and despite all our endeavours, Fluent does not yield any accurate results. For the backstep case, for instance, the precision of Femlab with a few hundreds degrees of freedom is better than that of Fluent with eighty thousands. Moreover for difficult problems like that of computing the force exerted on the cylinder, in the 2D case, a very good accuracy is needed to capture the right lift coefficient which is, in nondimensional form, approximately one percent of the drag coefficient. There is apparently no hope for Fluent to get even a rough idea of this coefficient, no matter how long we wait or how refined the mesh is. REFERENCES Barlow, J. and G. A. O. Davis Selected FE Benchmarks in Structural and Thermal Analysis. Technical report NAFEMS. NAFEMS The Standard NAFEMS Benchmarks. Technical report NAFEMS. Rose, Alan and Ben Simpson Laminar, Constant-Temperature Flow over a Backward Facing Step. In 1st NAFEMS Workbook of CFD Examples. Timoshenko, S. and S. Woinowsky-Knieger Theory of Plates and Shells. McGraw- Hill Book Co. Inc. Turek, S. and M. Schäfer Benchmark Computations of Laminar Flow around a Cylinder. In Flow Simulation with High-Performance Computers II, ed. E. H. Olivier Verdier
20 Hirschel. Vol. 52 of Notes on Numerical Fluid Mechanics Vieweg pp benchmark_results.ps.gz 19
21 20 Olivier Verdier
22
23 Preprints in Mathematical Sciences 2004:6 ISSN LUTFMA Mathematics Centre for Mathematical Sciences Lund University Box 118, SE Lund, Sweden
A numerical study of vortex-induced vibrations (viv) in an elastic cantilever
A numerical study of vortex-induced vibrations (viv) in an elastic cantilever Lorentzon, Johan; Austrell, Per Erik; Szász, Robert-Zoltán; Revstedt, Johan 2009 Link to publication Citation for published
More informationPrediction of airfoil performance at high Reynolds numbers.
Downloaded from orbit.dtu.dk on: Nov 04, 2018 Prediction of airfoil performance at high Reynolds numbers. Sørensen, Niels N.; Zahle, Frederik; Michelsen, Jess Publication date: 2014 Document Version Publisher's
More informationCOMPARISON OF THERMAL HAND MODELS AND MEASUREMENT SYSTEMS
COMPARISON OF THERMAL HAND MODELS AND MEASUREMENT SYSTEMS Kuklane, Kalev Published in: [Host publication title missing] Published: 2014-01-01 Link to publication Citation for published version (APA): Kuklane,
More informationDesign possibilities for impact noise insulation in lightweight floors A parameter study
Downloaded from orbit.dtu.dk on: Dec 23, 218 Design possibilities for impact noise insulation in lightweight floors A parameter study Brunskog, Jonas; Hammer, Per Published in: Euronoise Publication date:
More informationResistivity survey at Stora Uppåkra, Sweden
Resistivity survey at Stora Uppåkra, Sweden Dahlin, Torleif Published in: Uppåkra - Centrum i analys och rapport 2001 Link to publication Citation for published version (APA): Dahlin, T. (2001). Resistivity
More informationA beam theory fracture mechanics approach for strength analysis of beams with a hole
A beam theory fracture mechanics approach for strength analysis of beams with a hole Danielsson, Henrik; Gustafsson, Per-Johan Published in: International Network on Timber Engineering Research - Proceedings
More informationAnalytical Studies of the Influence of Regional Groundwater Flow by on the Performance of Borehole Heat Exchangers
Analytical Studies of the Influence of Regional Groundwater Flow by on the Performance of Borehole Heat Exchangers Claesson, Johan; Hellström, Göran Published in: [Host publication title missing] Published:
More informationSound absorption properties of a perforated plate and membrane ceiling element Nilsson, Anders C.; Rasmussen, Birgit
Aalborg Universitet Sound absorption properties of a perforated plate and membrane ceiling element Nilsson, Anders C.; Rasmussen, Birgit Published in: Proceedings of Inter-Noise 1983 Publication date:
More informationThe IEA Annex 20 Two-Dimensional Benchmark Test for CFD Predictions
Downloaded from vbn.aau.dk on: april 05, 2019 Aalborg Universitet The IEA Annex 20 Two-Dimensional Benchmark Test for CFD Predictions Nielsen, Peter V.; Rong, Li; Cortes, Ines Olmedo Published in: Clima
More informationOptimizing Reliability using BECAS - an Open-Source Cross Section Analysis Tool
Downloaded from orbit.dtu.dk on: Dec 20, 2017 Optimizing Reliability using BECAS - an Open-Source Cross Section Analysis Tool Bitsche, Robert; Blasques, José Pedro Albergaria Amaral Publication date: 2012
More informationGraphs with given diameter maximizing the spectral radius van Dam, Edwin
Tilburg University Graphs with given diameter maximizing the spectral radius van Dam, Edwin Published in: Linear Algebra and its Applications Publication date: 2007 Link to publication Citation for published
More informationResistivity imaging for mapping of quick clays
Resistivity imaging for mapping of quick clays Dahlin, Torleif; Leroux, Virginie; Larsson, Rolf; Rankka, Karin 5 Link to publication Citation for published version (APA): Dahlin, T., Leroux, V., Larsson,
More informationReducing Uncertainty of Near-shore wind resource Estimates (RUNE) using wind lidars and mesoscale models
Downloaded from orbit.dtu.dk on: Dec 16, 2018 Reducing Uncertainty of Near-shore wind resource Estimates (RUNE) using wind lidars and mesoscale models Floors, Rogier Ralph; Vasiljevic, Nikola; Lea, Guillaume;
More informationEmbankment dam seepage assessment by resistivity monitoring
Embankment dam seepage assessment by resistivity monitoring Dahlin, Torleif; Sjödahl, Pontus; Johansson, Sam 2008 Link to publication Citation for published version (APA): Dahlin, T., Sjödahl, P., & Johansson,
More informationLattice Boltzmann Modeling From the Macro- to the Microscale - An Approximation to the Porous Media in Fuel Cells -
Lattice Boltzmann Modeling From the Macro- to the Microscale - An Approximation to the Porous Media in Fuel Cells Espinoza Andaluz, Mayken; Sundén, Bengt; Andersson, Martin Unpublished: 2014-01-01 Link
More informationBenchmarking of optimization methods for topology optimization problems
Downloaded from orbit.dtu.dk on: Feb, 18 Benchmarking of optimization methods for topology optimization problems Rojas Labanda, Susana; Stolpe, Mathias Publication date: 14 Document Version Peer reviewed
More informationSteady State Comparisons HAWC2 v12.2 vs HAWCStab2 v2.12
Downloaded from orbit.dtu.dk on: Jan 29, 219 Steady State Comparisons v12.2 vs v2.12 Verelst, David Robert; Hansen, Morten Hartvig; Pirrung, Georg Publication date: 216 Document Version Publisher's PDF,
More informationAccelerating interior point methods with GPUs for smart grid systems
Downloaded from orbit.dtu.dk on: Dec 18, 2017 Accelerating interior point methods with GPUs for smart grid systems Gade-Nielsen, Nicolai Fog Publication date: 2011 Document Version Publisher's PDF, also
More informationDe Prisco, Renato; Comunian, Michele; Grespan, Franscesco; Piscent, Andrea; Karlsson, Anders
ESS DTL RF MODELIZATION: FIELD TUNING AND STABILIZATION De Prisco, Renato; Comunian, Michele; Grespan, Franscesco; Piscent, Andrea; Karlsson, Anders 2013 Link to publication Citation for published version
More informationOnline algorithms for parallel job scheduling and strip packing Hurink, J.L.; Paulus, J.J.
Online algorithms for parallel job scheduling and strip packing Hurink, J.L.; Paulus, J.J. Published: 01/01/007 Document Version Publisher s PDF, also known as Version of Record (includes final page, issue
More informationTransmuted distributions and extrema of random number of variables
Transmuted distributions and extrema of random number of variables Kozubowski, Tomasz J.; Podgórski, Krzysztof Published: 2016-01-01 Link to publication Citation for published version (APA): Kozubowski,
More informationGeoelectrical and IP Imaging Used for Pre-investigation at a Tunnel Project. Danielsen, Berit Ensted; Arver, Henrik; Karlsson, T; Dahlin, Torleif
Geoelectrical and IP Imaging Used for Pre-investigation at a Tunnel Project Danielsen, Berit Ensted; Arver, Henrik; Karlsson, T; Dahlin, Torleif 2008 Link to publication Citation for published version
More informationAalborg Universitet. Lecture 14 - Introduction to experimental work Kramer, Morten Mejlhede. Publication date: 2015
Aalborg Universitet Lecture 14 - Introduction to experimental work Kramer, Morten Mejlhede Publication date: 2015 Document Version Publisher's PDF, also known as Version of record Link to publication from
More informationSorption isotherms for textile fabrics and foam used in the indoor environment
Sorption isotherms for textile fabrics and foam used in the indoor environment Svennberg, Kaisa 2005 Link to publication Citation for published version (APA): Svennberg, K. (2005). Sorption isotherms for
More informationTopology optimisation of passive coolers for light-emitting diode lamps
Downloaded from orbit.dtu.dk on: Aug 15, 2018 Topology optimisation of passive coolers for light-emitting diode lamps Alexandersen, Joe Published in: Proceedings of WCSMO-11 Publication date: 2015 Document
More informationMassively parallel molecular-continuum simulations with the macro-micro-coupling tool Neumann, P.; Harting, J.D.R.
Massively parallel molecular-continuum simulations with the macro-micro-coupling tool Neumann, P.; Harting, J.D.R. Published in: Hybrid particle-continuum methods in computational materials physics, 4-7
More informationThe M/G/1 FIFO queue with several customer classes
The M/G/1 FIFO queue with several customer classes Boxma, O.J.; Takine, T. Published: 01/01/2003 Document Version Publisher s PDF, also known as Version of Record (includes final page, issue and volume
More informationApplication of joint inversion and fuzzy c-means cluster analysis for road preinvestigations
Application of joint inversion and fuzzy c-means cluster analysis for road preinvestigations Hellman, Kristofer; Günther, Thomas; Dahlin, Torleif Published: 2012-01-01 Link to publication Citation for
More informationAalborg Universitet. Specification of a Two-Dimensional Test Case Nielsen, Peter Vilhelm. Publication date: 1990
Aalborg Universitet Specification of a Two-Dimensional Test Case Nielsen, Peter Vilhelm Publication date: 199 Document Version Publisher's PDF, also known as Version of record Link to publication from
More informationUnknown input observer based scheme for detecting faults in a wind turbine converter Odgaard, Peter Fogh; Stoustrup, Jakob
Aalborg Universitet Unknown input observer based scheme for detecting faults in a wind turbine converter Odgaard, Peter Fogh; Stoustrup, Jakob Published in: Elsevier IFAC Publications / IFAC Proceedings
More informationLidar calibration What s the problem?
Downloaded from orbit.dtu.dk on: Feb 05, 2018 Lidar calibration What s the problem? Courtney, Michael Publication date: 2015 Document Version Peer reviewed version Link back to DTU Orbit Citation (APA):
More informationCrack Tip Flipping: A New Phenomenon yet to be Resolved in Ductile Plate Tearing
Downloaded from orbit.dtu.dk on: Jan 06, 2019 Crack Tip Flipping: A New Phenomenon yet to be Resolved in Ductile Plate Tearing Nielsen, Kim Lau Published in: Proceedings of the 30th Nordic Seminar on Computational
More informationDynamic Effects of Diabatization in Distillation Columns
Downloaded from orbit.dtu.dk on: Dec 27, 2018 Dynamic Effects of Diabatization in Distillation Columns Bisgaard, Thomas Publication date: 2012 Document Version Publisher's PDF, also known as Version of
More informationDesign of Robust AMB Controllers for Rotors Subjected to Varying and Uncertain Seal Forces
Downloaded from orbit.dtu.dk on: Nov 9, 218 Design of Robust AMB Controllers for Rotors Subjected to Varying and Uncertain Seal Forces Lauridsen, Jonas Skjødt; Santos, Ilmar Published in: Mechanical Engineering
More informationModelling Salmonella transfer during grinding of meat
Downloaded from orbit.dtu.dk on: Nov 24, 2018 Modelling Salmonella transfer during grinding of meat Hansen, Tina Beck Publication date: 2017 Document Version Publisher's PDF, also known as Version of record
More informationOn the Hausdorff Dimension of Fat Generalised Hyperbolic Attractors
On the Hausdorff Dimension of Fat Generalised Hyperbolic Attractors Persson, Tomas Published in: Preprints in Mathematical Sciences 2008 Link to publication Citation for published version (APA): Persson,
More informationA Note on Powers in Finite Fields
Downloaded from orbit.dtu.dk on: Jul 11, 2018 A Note on Powers in Finite Fields Aabrandt, Andreas; Hansen, Vagn Lundsgaard Published in: International Journal of Mathematical Education in Science and Technology
More informationConvergence analysis for a class of LDPC convolutional codes on the erasure channel
Convergence analysis for a class of LDPC convolutional codes on the erasure channel Sridharan, Arvind; Lentmaier, Michael; Costello Jr., Daniel J.; Zigangirov, Kamil Published in: [Host publication title
More informationNumerical modeling of the conduction and radiation heating in precision glass moulding
Downloaded from orbit.dtu.dk on: May 02, 2018 Numerical modeling of the conduction and radiation heating in precision glass moulding Sarhadi, Ali; Hattel, Jesper Henri; Hansen, Hans Nørgaard; Tutum, Cem
More informationNeutronics calculations for the ITER Collective Thomson Scattering Diagnostics
Downloaded from orbit.dtu.dk on: Sep 04, 2018 Neutronics calculations for the ITER Collective Thomson Scattering Diagnostics Nonbøl, Erik; Klinkby, Esben Bryndt; Lauritzen, Bent; Santos, R. Publication
More informationSimulating wind energy resources with mesoscale models: Intercomparison of stateof-the-art
Downloaded from orbit.dtu.dk on: Nov 01, 2018 Simulating wind energy resources with mesoscale models: Intercomparison of stateof-the-art models Olsen, Bjarke Tobias; Hahmann, Andrea N.; Sempreviva, Anna
More informationOn numerical evaluation of two-dimensional phase integrals
Downloaded from orbit.dtu.dk on: Nov 28, 2018 On numerical evaluation of two-dimensional phase integrals Lessow, H.; Rusch, W.; Schjær-Jacobsen, Hans Published in: E E E Transactions on Antennas and Propagation
More informationGlobal Wind Atlas validation and uncertainty
Downloaded from orbit.dtu.dk on: Nov 26, 20 Global Wind Atlas validation and uncertainty Mortensen, Niels Gylling; Davis, Neil; Badger, Jake; Hahmann, Andrea N. Publication date: 20 Document Version Publisher's
More informationPublished in: Proceedings of the Twentieth (2010) International Offshore and Polar Engineering Conference
Aalborg Universitet Performance Evaluation of an Axysimmetric Floating OWC Alves, M. A.; Costa, I. R.; Sarmento, A. J.; Chozas, Julia Fernandez Published in: Proceedings of the Twentieth (010) International
More informationThe Wien Bridge Oscillator Family
Downloaded from orbit.dtu.dk on: Dec 29, 207 The Wien Bridge Oscillator Family Lindberg, Erik Published in: Proceedings of the ICSES-06 Publication date: 2006 Link back to DTU Orbit Citation APA): Lindberg,
More informationA Procedure for Classification of Cup-Anemometers
Downloaded from orbit.dtu.dk on: Dec, 17 A Procedure for Classification of Cup-Anemometers Friis Pedersen, Troels; Paulsen, Uwe Schmidt Published in: Proceedings of EWEC 97 Publication date: 1997 Link
More informationProposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow
Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow Stefan Turek and Jaroslav Hron Institute for Applied Mathematics and Numerics,
More informationReflection of sound from finite-size plane and curved surfaces
Downloaded from orbit.dtu.dk on: Sep, 08 Reflection of sound from finite-size plane and curved surfaces Rindel, Jens Holger Published in: Journal of the Acoustical Society of America Publication date:
More informationProject #1 Internal flow with thermal convection
Project #1 Internal flow with thermal convection MAE 494/598, Fall 2017, Project 1 (20 points) Hard copy of report is due at the start of class on the due date. The rules on collaboration will be released
More informationCitation for published version (APA): Burcharth, H. F. (1988). Stress Analysis. Aalborg: Department of Civil Engineering, Aalborg University.
Aalborg Universitet Stress Analysis Burcharth, Hans Falk Publication date: 1988 Document Version Accepted author manuscript, peer reviewed version Link to publication from Aalborg University Citation for
More informationGenerating the optimal magnetic field for magnetic refrigeration
Downloaded from orbit.dtu.dk on: Oct 17, 018 Generating the optimal magnetic field for magnetic refrigeration Bjørk, Rasmus; Insinga, Andrea Roberto; Smith, Anders; Bahl, Christian Published in: Proceedings
More informationDISPENSA FEM in MSC. Nastran
DISPENSA FEM in MSC. Nastran preprocessing: mesh generation material definitions definition of loads and boundary conditions solving: solving the (linear) set of equations components postprocessing: visualisation
More informationReflection and absorption coefficients for use in room acoustic simulations
Downloaded from orbit.dtu.dk on: May 1, 018 Reflection and absorption coefficients for use in room acoustic simulations Jeong, Cheol-Ho Published in: Proceedings of Spring Meeting of the Acoustical Society
More informationAalborg Universitet. Publication date: Document Version Publisher's PDF, also known as Version of record
Aalborg Universitet Experimental Investigation of the Influence of Different Flooring Emissivity on Night- Time Cooling using Displacement Ventilation Dreau, Jerome Le; Karlsen, Line Røseth; Litewnicki,
More informationCharacterization of microporous silica-based membranes by calorimetric analysis Boffa, Vittorio; Yue, Yuanzheng
Aalborg Universitet Characterization of microporous silica-based membranes by calorimetric analysis Boffa, Vittorio; Yue, Yuanzheng Published in: 6th Black Sea Conference on Analytical Chemistry - Book
More informationAdvantages and Challenges of Superconducting Wind Turbine Generators
Downloaded from orbit.dtu.dk on: Apr 10, 2018 Advantages and Challenges of Superconducting Wind Turbine Generators Jensen, Bogi Bech; Mijatovic, Nenad; Abrahamsen, Asger Bech Publication date: 2012 Link
More informationUniversity of Huddersfield Repository
University of Huddersfield Repository Malviya, Vihar, Gundala, Naresh and Mishra, Rakesh Effect of cross wind on aerodynamic coefficients of ground vehicles. Original Citation Malviya, Vihar, Gundala,
More informationTilburg University. Strongly Regular Graphs with Maximal Energy Haemers, W. H. Publication date: Link to publication
Tilburg University Strongly Regular Graphs with Maximal Energy Haemers, W. H. Publication date: 2007 Link to publication Citation for published version (APA): Haemers, W. H. (2007). Strongly Regular Graphs
More informationA note on non-periodic tilings of the plane
A note on non-periodic tilings of the plane de Bruijn, N.G. Published: 01/01/1985 Document Version Publisher s PDF, also known as Version of Record (includes final page, issue and volume numbers) Please
More informationMatrix representation of a Neural Network
Downloaded from orbit.dtu.dk on: May 01, 2018 Matrix representation of a Neural Network Christensen, Bjørn Klint Publication date: 2003 Document Version Publisher's PDF, also known as Version of record
More informationResonant Inerter Based Absorbers for a Selected Global Mode
Downloaded from orbit.dtu.dk on: Jun 3, 208 Resonant Inerter Based Absorbers for a Selected Global Mode Krenk, Steen Published in: Proceedings of the 6th European Conference on Structural Control Publication
More informationHigher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits
Higher order hierarchical H(curl) Legendre basis functions applied in the finite element method: emphasis on microwave circuits Johannesson, Peter 20 Link to publication Citation for published version
More informationPublished in: Proceedings of the 21st Symposium on Mathematical Theory of Networks and Systems
Aalborg Universitet Affine variety codes are better than their reputation Geil, Hans Olav; Martin, Stefano Published in: Proceedings of the 21st Symposium on Mathematical Theory of Networks and Systems
More informationGeophysical techniques for investigating shallow and deep landslides: results in the framework of PREVIEW project (FP6 UE)
Geophysical techniques for investigating shallow and deep landslides: results in the framework of PREVIEW project (FP6 UE) Perrone, A; Piscitelli, S; Lampenna, V; Lamporte, A; Giocolli, A; Dahlin, Torleif
More informationComparisons of winds from satellite SAR, WRF and SCADA to characterize coastal gradients and wind farm wake effects at Anholt wind farm
Downloaded from orbit.dtu.dk on: Dec 10, 2018 Comparisons of winds from satellite SAR, WRF and SCADA to characterize coastal gradients and wind farm wake effects at Anholt wind farm Hasager, Charlotte
More informationThe dipole moment of a wall-charged void in a bulk dielectric
Downloaded from orbit.dtu.dk on: Dec 17, 2017 The dipole moment of a wall-charged void in a bulk dielectric McAllister, Iain Wilson Published in: Proceedings of the Conference on Electrical Insulation
More informationAn Overview of Impellers, Velocity Profile and Reactor Design
An Overview of s, Velocity Profile and Reactor Design Praveen Patel 1, Pranay Vaidya 1, Gurmeet Singh 2 1 Indian Institute of Technology Bombay, India 1 Indian Oil Corporation Limited, R&D Centre Faridabad
More informationHigher-order spectral modelling of the diffraction force around a vertical circular cylinder
Downloaded from orbit.dtu.dk on: Apr 10, 2018 Higher-order spectral modelling of the diffraction force around a vertical circular cylinder Bredmose, Henrik; Andersen, Søren Juhl Publication date: 2017
More informationNumerical studies on natural ventilation flow in an enclosure with both buoyancy and wind effects
Numerical studies on natural ventilation flow in an enclosure with both buoyancy and wind effects Ji, Y Title Authors Type URL Numerical studies on natural ventilation flow in an enclosure with both buoyancy
More informationEffects of surface design on aerodynamic forces of iced bridge cables
Downloaded from orbit.dtu.dk on: Nov 08, 2017 Effects of surface design on aerodynamic forces of iced bridge cables Koss, Holger Published in: Proceedings of the Symposium on the Dynamics and Aerodynamics
More informationMeasurements of the angular distribution of diffuse irradiance
Downloaded from orbit.dtu.dk on: Nov 02, 2018 Measurements of the angular distribution of diffuse irradiance Nielsen, Elsabet Nomonde Noma; Nielsen, Kristian Pagh ; Dragsted, Janne; Furbo, Simon Published
More informationAalborg Universitet. CFD in Ventilation Design Nielsen, Peter Vilhelm. Publication date: 2009
Aalborg Universitet CFD in Ventilation Design Nielsen, Peter Vilhelm Publication date: 2009 Document Version Publisher's PDF, also known as Version of record Link to publication from Aalborg University
More informationTectonic Thinking Beim, Anne; Bech-Danielsen, Claus; Bundgaard, Charlotte; Madsen, Ulrik Stylsvig
Aalborg Universitet Tectonic Thinking Beim, Anne; Bech-Danielsen, Claus; Bundgaard, Charlotte; Madsen, Ulrik Stylsvig Publication date: 2011 Document Version Early version, also known as pre-print Link
More informationMultiple Scenario Inversion of Reflection Seismic Prestack Data
Downloaded from orbit.dtu.dk on: Nov 28, 2018 Multiple Scenario Inversion of Reflection Seismic Prestack Data Hansen, Thomas Mejer; Cordua, Knud Skou; Mosegaard, Klaus Publication date: 2013 Document Version
More informationTilburg University. Two-dimensional maximin Latin hypercube designs van Dam, Edwin. Published in: Discrete Applied Mathematics
Tilburg University Two-dimensional maximin Latin hypercube designs van Dam, Edwin Published in: Discrete Applied Mathematics Document version: Peer reviewed version Publication date: 2008 Link to publication
More informationSolar radiation and thermal performance of solar collectors for Denmark
Downloaded from orbit.dtu.dk on: Feb 01, 2018 Solar radiation and thermal performance of solar collectors for Denmark Dragsted, Janne; Furbo, Simon Publication date: 2012 Document Version Publisher's PDF,
More informationABSTRACT I. INTRODUCTION
2016 IJSRSET Volume 2 Issue 4 Print ISSN : 2395-1990 Online ISSN : 2394-4099 Themed Section: Engineering and Technology Analysis of Compressible Effect in the Flow Metering By Orifice Plate Using Prasanna
More informationAn Equivalent Source Method for Modelling the Lithospheric Magnetic Field Using Satellite and Airborne Magnetic Data
Downloaded from orbit.dtu.dk on: Oct 03, 2018 An Equivalent Source Method for Modelling the Lithospheric Magnetic Field Using Satellite and Airborne Magnetic Data Kother, Livia Kathleen; D. Hammer, Magnus;
More informationMulti (building)physics modeling
Multi (building)physics modeling van Schijndel, A.W.M. Published: 01/01/2010 Document Version Publisher s PDF, also known as Version of Record (includes final page, issue and volume numbers) Please check
More informationFatigue Reliability and Effective Turbulence Models in Wind Farms
Downloaded from vbn.aau.dk on: marts 28, 2019 Aalborg Universitet Fatigue Reliability and Effective Turbulence Models in Wind Farms Sørensen, John Dalsgaard; Frandsen, S.; Tarp-Johansen, N.J. Published
More informationA comparison study of the two-bladed partial pitch turbine during normal operation and an extreme gust conditions
Downloaded from orbit.dtu.dk on: Jul 12, 2018 A comparison study of the two-bladed partial pitch turbine during normal operation and an extreme gust conditions Kim, Taeseong; Pedersen, Mads Mølgaard; Larsen,
More informationApplication of mesoscale models with wind farm parametrisations in EERA-DTOC
Downloaded from orbit.dtu.dk on: Dec 21, 2017 Application of mesoscale models with wind farm parametrisations in EERA-DTOC Volker, Patrick; Badger, Jake; Hahmann, Andrea N.; Hansen, S.; Badger, Merete;
More informationEarly development drug formulation on a chip: Fabrication of nanoparticles using a microfluidic spray dryer. Supplemental Information
Early development drug formulation on a chip: Fabrication of nanoparticles using a microfluidic spray dryer Julian Thiele, a,b Maike Windbergs, a Adam R. Abate, a Martin Trebbin, b Ho Cheung Shum, a,c
More informationGeometry explains the large difference in the elastic properties of fcc and hcp crystals of hard spheres Sushko, N.; van der Schoot, P.P.A.M.
Geometry explains the large difference in the elastic properties of fcc and hcp crystals of hard spheres Sushko, N.; van der Schoot, P.P.A.M. Published in: Physical Review E DOI: 10.1103/PhysRevE.72.067104
More informationDetermination of packaging induced 3D stress utilizing a piezocoefficient mapping device
Downloaded from orbit.dtu.dk on: Dec 15, 2018 Determination of packaging induced 3D stress utilizing a piezocoefficient mapping device Richter, Jacob; Hyldgård, A.; Birkelund, Karen; Arnoldus, Morten Berg;
More informationA systematic methodology for controller tuning in wastewater treatment plants
Downloaded from orbit.dtu.dk on: Dec 2, 217 A systematic methodology for controller tuning in wastewater treatment plants Mauricio Iglesias, Miguel; Jørgensen, Sten Bay; Sin, Gürkan Publication date: 212
More information1 Exercise: Linear, incompressible Stokes flow with FE
Figure 1: Pressure and velocity solution for a sinking, fluid slab impinging on viscosity contrast problem. 1 Exercise: Linear, incompressible Stokes flow with FE Reading Hughes (2000), sec. 4.2-4.4 Dabrowski
More informationTilburg University. Two-Dimensional Minimax Latin Hypercube Designs van Dam, Edwin. Document version: Publisher's PDF, also known as Version of record
Tilburg University Two-Dimensional Minimax Latin Hypercube Designs van Dam, Edwin Document version: Publisher's PDF, also known as Version of record Publication date: 2005 Link to publication General rights
More informationThe structure of a nucleolytic ribozyme that employs a catalytic metal ion Liu, Yijin; Wilson, Timothy; Lilley, David
University of Dundee The structure of a nucleolytic ribozyme that employs a catalytic metal ion Liu, Yijin; Wilson, Timothy; Lilley, David Published in: Nature Chemical Biology DOI: 10.1038/nchembio.2333
More informationNumerical simulation of fluid flow in a monolithic exchanger related to high temperature and high pressure operating conditions
Advanced Computational Methods in Heat Transfer X 25 Numerical simulation of fluid flow in a monolithic exchanger related to high temperature and high pressure operating conditions F. Selimovic & B. Sundén
More informationImpact of the interfaces for wind and wave modeling - interpretation using COAWST, SAR and point measurements
Downloaded from orbit.dtu.dk on: Oct 21, 2018 Impact of the interfaces for wind and wave modeling - interpretation using COAWST, SAR and point measurements Larsén, Xiaoli Guo; Du, Jianting; Bolanos, Rodolfo;
More informationPressure Losses for Fluid Flow Through Abrupt Area. Contraction in Compact Heat Exchangers
Pressure Losses for Fluid Flow Through Abrupt Area Contraction in Compact Heat Exchangers Undergraduate Research Spring 004 By Bryan J. Johnson Under Direction of Rehnberg Professor of Ch.E. Bruce A. Finlayson
More informationValidation of Boundary Layer Winds from WRF Mesoscale Forecasts over Denmark
Downloaded from orbit.dtu.dk on: Dec 14, 2018 Validation of Boundary Layer Winds from WRF Mesoscale Forecasts over Denmark Hahmann, Andrea N.; Pena Diaz, Alfredo Published in: EWEC 2010 Proceedings online
More informationEstimation of Peak Wave Stresses in Slender Complex Concrete Armor Units
Downloaded from vbn.aau.dk on: januar 19, 2019 Aalborg Universitet Estimation of Peak Wave Stresses in Slender Complex Concrete Armor Units Howell, G.L.; Burcharth, Hans Falk; Rhee, Joon R Published in:
More informationKommerciel arbejde med WAsP
Downloaded from orbit.dtu.dk on: Dec 19, 2017 Kommerciel arbejde med WAsP Mortensen, Niels Gylling Publication date: 2002 Document Version Peer reviewed version Link back to DTU Orbit Citation (APA): Mortensen,
More informationContent. Department of Mathematics University of Oslo
Chapter: 1 MEK4560 The Finite Element Method in Solid Mechanics II (January 25, 2008) (E-post:torgeiru@math.uio.no) Page 1 of 14 Content 1 Introduction to MEK4560 3 1.1 Minimum Potential energy..............................
More informationConceptual design of a thorium supplied thermal molten salt wasteburner
Downloaded from orbit.dtu.dk on: Dec 20, 2017 Conceptual design of a thorium supplied thermal molten salt wasteburner Schönfeldt, Troels; Klinkby, Esben Bryndt; Klenø, K.H.; Boje, Peter; Eakes, C.; Pettersen,
More informationOptimal acid digestion for multi-element analysis of different waste matrices
Downloaded from orbit.dtu.dk on: Sep 06, 2018 Optimal acid digestion for multi-element analysis of different waste matrices Götze, Ramona; Astrup, Thomas Fruergaard Publication date: 2014 Document Version
More informationA comparison between two different method of moments codes for periodic problems
A comparison between two different method of moments codes for periodic problems Sjöberg, Daniel; Vipiana, F.; Vecchi, G.; Polemi, A.; Maci, S. Published in: [Host publication title missing] 27 Link to
More informationDetermination of the minimum size of a statistical representative volume element from a fibre-reinforced composite based on point pattern statistics
Downloaded from orbit.dtu.dk on: Dec 04, 2018 Determination of the minimum size of a statistical representative volume element from a fibre-reinforced composite based on point pattern statistics Hansen,
More information